I overlooked the bit about tabs except the first being hidden on page load, and the masonry wouldn't see them.  Modified the selector to be a class, and refreshing masonry after a tab is opened using 'activate' callback.

// Tabs
$( function() {
   $( "#tabs" ).tabs({
     activate: function( event, ui ) {
       var $grid = $('.allMinistries').masonry({
         itemSelector: 'ministry',
         gutter: 20
       });
     }
  });
} );